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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 522 · 40 questions
TalentJR

The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).

NameDateTime takenScore ___ / 40
  1. 1.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  2. 2.One number is 3 times another. Their difference is 26. What is the smaller number?
  3. 3.The sum of two numbers is 31 and their difference is 5. What is the smaller number?
  4. 4.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
  5. 5.One number is 3 times another. Their difference is 70. What is the smaller number?
  6. 6.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  7. 7.The sum of two numbers is 82 and their difference is 56. What is the smaller number?
  8. 8.The sum of two numbers is 99 and their difference is 33. What is the smaller number?
  9. 9.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  10. 10.The sum of 4 consecutive even numbers is 172. What is the largest of them?
  11. 11.The sum of 3 consecutive odd numbers is 105. What is the largest of them?
  12. 12.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  13. 13.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  14. 14.One number is 3 times another. Their difference is 46. What is the smaller number?
  15. 15.One number is 5 times another. Their difference is 20. What is the smaller number?
  16. 16.The sum of 4 consecutive numbers is 234. What is the largest of them?
  17. 17.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  18. 18.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  19. 19.The sum of two numbers is 77 and their difference is 55. What is the smaller number?
  20. 20.One number is 3 times another. Their difference is 36. What is the smaller number?
  21. 21.The sum of two numbers is 28 and their difference is 22. What is the smaller number?
  22. 22.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  23. 23.The sum of 4 consecutive even numbers is 308. What is the smallest of them?
  24. 24.The sum of 4 consecutive numbers is 118. What is the largest of them?
  25. 25.One number is 2 times another. Their difference is 20. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  27. 27.One number is 4 times another. Their difference is 75. What is the smaller number?
  28. 28.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  29. 29.The sum of two numbers is 40 and their difference is 6. What is the smaller number?
  30. 30.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  31. 31.One number is 5 times another. Their difference is 148. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 24. What is the largest of them?
  33. 33.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  34. 34.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  35. 35.The sum of 3 consecutive numbers is 105. What is the largest of them?
  36. 36.The sum of two numbers is 130 and their difference is 16. What is the smaller number?
  37. 37.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
  38. 38.The sum of two numbers is 37 and their difference is 11. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 66. What is the largest of them?
  40. 40.The sum of 3 consecutive even numbers is 132. What is the smallest of them?

Answer key

  1. 61
  2. 13
  3. 13
  4. 89
  5. 35
  6. 23
  7. 13
  8. 33
  9. 29
  10. 46
  11. 37
  12. 58
  13. 14
  14. 23
  15. 5
  16. 60
  17. 85
  18. 27
  19. 11
  20. 18
  21. 3
  22. 39
  23. 74
  24. 31
  25. 20
  26. 63
  27. 25
  28. 76
  29. 17
  30. 15
  31. 37
  32. 9
  33. 79
  34. 28
  35. 36
  36. 57
  37. 77
  38. 13
  39. 23
  40. 42

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